Velocity and pressure profiles for Newtonian creeping flow in regular packed beds of spheres

A theoretical analysis is made of Newtonian creeping flow through dense cubic and simple cubic beds of spheres. Velocity and pressure profiles are obtained in equation form by Galerkin's error-distribution method. The profiles satisfy the conservation equations approximately, and the boundary conditions and symmetry conditions exactly. The calculated friction factors are within 5% of experimental values for both packing arrangements.